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Finding the Fourth Proportional to 272,000.80, 408,001.20 and 161,408.80

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Solution

The fourth proportional to 272,000.80, 408,001.20 and 161,408.80 is: 242,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,000.80 : 408,001.20 = 161,408.80 : x
  2. Step 2: Convert to fraction form
    272,000.80/408,001.20 = 161,408.80/x
  3. Step 3: Cross multiply
    272,000.80x = 408,001.20 × 161,408.80
  4. Step 4: Simplify right side
    272,000.80x = 65,854,984,090.56
  5. Step 5: Solve for x
    x = 65,854,984,090.56/272,000.80
  6. Step 6: Final answer
    x = 242,113.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.